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Answer:

24 cm

Step-by-step explanation:

in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:

3x - 6 = x + 14

subtract x from both sides

2x - 6 = 14

add 6 to both sides

2x = 20

divide both sides by 2

x = 10.

to find the length of each side, plug this back into the original side length expressions:

3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm

the length is 24 cm.

Answer:

x=83

Step-by-step explanation:

The total value of angles is 360

So you have 75+97+105= 277

So x = 360-277 = 83

Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.

In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).

To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.

The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).

The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).

To divide these two expressions, you can divide the numerators and the denominators separately:

(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)

= (2x^2) ÷ (3x^2-3x+2)

= (2/3)x^2 ÷ (x^2-x+2/3)

Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)

Step-by-step explanation:

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer:

24 Internet users because 40% of 60 is 24 hope this helps :)

Step-by-step explanation:

Answer:

D) 11,13,22

Step-by-step explanation:

If 3y>27, then y>9. Therefore, D is the correct answer (C is not correct BTW because 9 isn't included in the inequality).

The integral of 37/(\(x(lnx)^p\)) converges for p > 1, as the denominator becomes increasingly smaller as x approaches infinity.

The integral of the function \(37/(x(lnx)^p)\) can be calculated to determine whether it converges or diverges. The integral converges if the limit of the integral is finite. This means that the integral can be defined for any real value of x, from 0 to infinity. The value of p must be greater than 1 in order for the integral to converge smaller as x approaches infinity .This is due to the fact that the denominator of the function,\(x(lnx)^p\), will become increasingly smaller as x approaches infinity. Therefore, the integral of the function \(37/(x(lnx)^p)\)converges for values of p greater than 1.

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Answer:

-3p - p²

Last option

Step-by-step explanation:

Step 1: Write out expression

2p - 7p² - 5p + 6p²

Step 2: Combine like terms (p²)

-p² + 2p - 5p

Step 3: Combine like terms (p)

-p² - 3p

Step 4: Rewrite

-3p - p²

Answer:

c

Step-by-step explanation:

Working together, they can complete the task in 4 hours and 48 minutes.

A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.

Tracy needs 8 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/8 hours = 1/8 task per hour.

This means that she can complete 1/8 of the task per hour.

Dave needs 12 hours to complete the task, then his ratio is:

1 task/12 hours = 1/12 task per hour.

This means that he can complete 1/12 of the task in one hour.

If they work together, then the ratios can be added:

R = \(\frac{1}{8}\) +  \(\frac{1}{12}\)

  = \(\frac{3+2}{24}\)

  = \(\frac{5}{24}\)

So, working together, in one hour they can complete  \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:

\(\frac{5}{24}\)×\(x\)= 1 task

x = \(\frac{24}{5}\) hours = 4.8 hours

knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.

Then x = 4 hours and 48 minutes.

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Answer:

x = 7 , y = 7\(\sqrt{2}\)

Step-by-step explanation:

A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is

x = 7

Using Pythagoras' identity in the right triangle, then

y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

y = \(\sqrt{98}\) = \(\sqrt{49(2)}\) = \(\sqrt{49}\) × \(\sqrt{2}\) = 7\(\sqrt{2}\)

Answer:

Step-by-step explanation:

from the figure we understand that it is an isosceles right triangle, two equal angles and two equal sides, so x has the value 7, we solve with Pythagoras

x = 7

y = √ (7² + 7²)

y = √(49 + 49)

y = √98

y = 9.9

In linear equation, Using the confidence interval for a proportion, it is found that 3458 students should be sampled.

What in mathematics is a linear equation?

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

       π ± z√π( 1 - π)/n

In which

z is the z-score that has a p-value of 1 + α/2

The margin of error is of

               M =   z√π( 1 - π)/n

In this problem:

    M =   z√π( 1 - π)/n

0.01 = 1.96√0.1(0.9)/n

0.01√n =  1.96√0.1(0.9)

√n = 1.96 √0.1(0.9)/0.01

(√n)² = ( 1.96 √0.1(0.9)/0.01)²

 n = 3457.4

3458 students should be sampled.

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Answer:

= 40.5π square inches

Step-by-step explanation:

Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?

The formula for the surface Area of a cylinder = 2πr( r + h)

r = 1.5 inches

h = 12 inches

Hence,

2 × π × 1.5( 1.5 + 12)

3π(13.5)

= 40.5π square inches

The surface area of the cylinder is

= 40.5π square inches

Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.

The t-score for a 99.8% confidence interval with a sample size of 5 can be found using a t-distribution table or calculator.

Since we have a sample size of 5, the degrees of freedom (df) will be n - 1 = 4.

From the t-distribution table or calculator, the t-score for a 99.8% confidence interval with 4 degrees of freedom is approximately 4.604.

Therefore, the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.

the complete question is :

what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5?

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The profession/group in the survey that gets the least amount of sleep are Lawyers and police officers, according to the less than 6 hours category.

Lawyers and police officers are two groups of professionals who, according to a study, frequently get less than six hours of sleep per night.

Almost a third of all police officers and attorneys reported sleeping less than six hours per night, according to a study by the American Academy of Sleep Medicine.

Sleep deprivation is defined as getting less than the recommended amount of sleep each night.

The National Sleep Foundation recommends that adults get 7-9 hours of sleep per night.

The negative effects of sleep deprivation on health and safety are well documented, and there are numerous reasons

However, some groups are more prone to sleep deprivation than others.

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Answer:

58 miles per hour

Step-by-step explanation:

464/8=58

Answer:

58mph

Step-by-step explanation:

The cost per person if only 25 people go by the chartered bus is $15.2.

Two terms are directly related when the increase in one increases the other term, and the decrease in one decreases the other term.

Two terms are inversely related when the increase in one decreases the other term and the decrease in one increases the other term.

We are informed that 40 people pay $9.50 each to ride the chartered bus.

∴Total rent of the chartered bus = $9.50*40 = $380.

We are asked the cost per person if only 25 people go. We simply divide the total rent by the number of people.

∴ Cost to each person = $380/25 = $15.2

∴ The cost per person if only 25 people go by the chartered bus is $15.2.

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Answer:

why isnt there a backround base? it wouldnt be area if isnt so

Step-by-step explanation:

The area is 960 m

because 48*15=720

and 10*24=240

720+240= 960

The required solution is,(1/36) [3e3θ sin (4θ) - 8e3θ cos (4θ)] + C.

Given integral is,∫e3θ sin (4θ) dθLet u = 4θ then, du/dθ = 4 ⇒ dθ = (1/4) du

Substituting,∫e3θ sin (4θ) dθ = (1/4) ∫e3θ sin u du

On integrating by parts, we have:

u = sin u, dv = e3θ du ⇒ v = (1/3)e3θ

Therefore,∫e3θ sin (4θ) dθ = (1/4) [(1/3) e3θ sin (4θ) - (4/3) ∫e3θ cos (4θ) dθ]

Now, let's integrate by parts for the second integral. Let u = cos u, dv = e3θ du ⇒ v = (1/3)e3θ

Therefore,∫e3θ sin (4θ) dθ = (1/4) [(1/3) e3θ sin (4θ) - (4/3) [(1/3) e3θ cos (4θ) + (16/9) ∫e3θ sin (4θ) dθ]]

Let's solve for the integral of e3θ sin(4θ) dθ in terms of itself:

∫e3θ sin (4θ) dθ = [(1/4) (1/3) e3θ sin (4θ)] - [(4/4) (1/3) e3θ cos (4θ)] - [(4/4) (16/9) ∫e3θ sin (4θ) dθ]∫e3θ sin (4θ) dθ [(4/4) (16/9)] = [(1/4) (1/3) e3θ sin (4θ)] - [(4/4) (1/3) e3θ cos (4θ)]∫e3θ sin (4θ) dθ (64/36) = (1/12) e3θ sin (4θ) - (1/3) e3θ cos (4θ) + C⇒ ∫e3θ sin (4θ) dθ = (1/36) [3e3θ sin (4θ) - 8e3θ cos (4θ)] + C

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safeMoved = 1 AND controlSwitchClosed = 1

The equation of the control logic for the burglar alarm is ((safeMoved = 1 AND controlSwitchClosed = 1) OR (closetOpenedAfterBankingHours = 1) OR (closetOpenedWithControlSwitchOpen = 1)).

This logic produces a logic 1 (rings a bell) when the safe is moved and the control switch is closed,

or when the closet is opened after banking hours,

or when the closet is opened with the control switch open.

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

the answer is b

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

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Answer:

  4

Step-by-step explanation:

You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.

The leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.

The least significant digit of 0.014 is 4. The leaf unit is 4.

<95141404393>

Answer:

S t r e t c h

Step-by-step explanation:

Edge 2020

Answer:

Stretch

Step-by-step explanation:

I had this question on a quiz edge 2021

Answer:

x > 10.4

Step-by-step explanation:

Isolate X by adding 3.5 to each side of the inequality

That leaves you with x > 6.9 + 3.5

Explanation:

If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.

If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.

Choices A, C and D are true for any parallelogram (rectangle or not).

Answer:

ready. took me 2 minutes